# Let z be a random variable with a standard normal distribution. Find the indicated probability. P(−0.47 ≤ z ≤ 2.40)?

(Round your answer to four decimal places.)

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- Wayne DeguManLv 72 months ago
P(-0.47 ≤ z ≤ 2.40) => P(z ≤ 2.40) - P(z ≤ -0.47)

i.e. P(z ≤ 2.40) - P(z ≥ 0.47)

or, P(z ≤ 2.40) - [1 - P(z ≤ 0.47)]

so, P(z ≤ 2.40) + P(z ≤ 0.47) - 1

Now, refer to normal tables.

You should get 0.6726

Hence, about 67.3%

:)>

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- rotchmLv 72 months ago
Lookup in your z table. That's the technique! Deduce the area between those two values. that's what they are asking.

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